- Aug 2, 2001
It is only in the 1 case out of 3 where you are initially right that the host has a choice of wrong doors he can open.
Your new decision is effectively giving you the chance to bet that you were initially wrong. Chances are two out of three times you were! Annoying, I know, but I am now convinced. Try that table!
I think our brains are looking for a way to win every time but the problem is really to say how often this strategy would pay off in a series of games.